Applying Wirtinger derivatives to the radio interferometry calibration problem
Abstract
This paper presents a fast algorithm for full-polarisation, direction dependent calibration in radio interferometry. It is based on Wirtinger's approach to complex differentiation. Compared to the classical case, and under reasonable approximations, the Jacobian appearing in the Levenberg-Maquardt iterative scheme presents a sparse structure, allowing for high gain in terms of algorithmic cost.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2014
- DOI:
- 10.48550/arXiv.1410.8706
- arXiv:
- arXiv:1410.8706
- Bibcode:
- 2014arXiv1410.8706T
- Keywords:
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- Astrophysics - Instrumentation and Methods for Astrophysics